**What Is 1/6 as a Decimal + Solution With Free Steps**

**The fraction 1/6 as a decimal is equal to 0.166.**

**Division** refers to either the act of being split apart or the action of breaking something up into pieces. It is a very important concept of mathematics. If compared to multiplication, the division is exactly its inverse.

The division of **1/6** will be performed in the problem to be addressed, using **Long Division**.

**Solution**

To perform the given division, the fraction’s components are divided up, based on how they work. When splitting a fraction, the denominator is known as the **Divisor** and the **Dividend** is the numerator.

The division that has to be resolved has **1** as a dividend and **6** as a divisor, which has the following fractional form.

**Dividend = 1Â **

**Divisor****Â = 6Â **

Once the process of division of two numbers is completed, the result we obtained is known as **Quotient.** But if a division is not completed, the remaining value we get is known as **Remainder**. Mathematically, we can write the given fraction as:

**Quotient = Dividend $\div$ Divisor = 1 $\div$ 6Â **

Using the long division approach, weÂ will simplify this division problem.

Figure 1

**1/6 Long Division Method**

A method for dividing large numbers that divides the effort into multiple successive steps is known as **Long Division.** The dividend is divided by the divisor to get the quotient much like in the conventional division method, and on rare occasions, it results in a remainder.

Following is an explanation of how to use **Long Division** to solve a given fraction.

We have:

**1 $\div$ 6Â **

When performing long division, we determine whether the dividend’s first digit is larger than the divisor. If it is so, we need a **Decimal Point** to proceed. Thus, we need a decimal point in the example given, since **6** is a greater number than **1**.

To get a decimal point, we add a zero to the right of the dividend **1** and have **10**. Now we will divide **10** by **6**, as shown below.

**10 $\div$ 6 $\approx$ 1**

Where:

**6 x 1 = 6**

We know that **10** is not a multiple of **6**, so we will get a Remainder of **4 **as:

**10 â€“ 6 = 4**

Now, we again have to put a zero to the remainder’s right but without any decimal point, because **Quotient** already contains one. After this step, we get **40**, which is to be divided by **6**.

The resulting value of the remainder, **4** will become **40** after plugging in a zero to its right. Now, the next step can be computed as:

**40 $\div$ 6 $\approx$ 36Â **

Where:

**Â 6 x 6 = 36Â **

This time remainder is found to be **4**.

**40 â€“ 36 = 4**

As we have the same remainder, calculations of the upper steps are repeated. Thus, **Quotient **is calculated to be **0.166** and the **Remainder** is **4**. This indicates that **1/6** is a non-terminating fraction.

*Images/mathematical drawings are created with GeoGebra.*